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Finding the Fourth Proportional to 194,794.58, 292,162.64 and 61,657.58

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Solution

The fourth proportional to 194,794.58, 292,162.64 and 61,657.58 is: 92,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794.58 : 292,162.64 = 61,657.58 : x
  2. Step 2: Convert to fraction form
    194,794.58/292,162.64 = 61,657.58/x
  3. Step 3: Cross multiply
    194,794.58x = 292,162.64 × 61,657.58
  4. Step 4: Simplify right side
    194,794.58x = 18,014,041,348.81
  5. Step 5: Solve for x
    x = 18,014,041,348.81/194,794.58
  6. Step 6: Final answer
    x = 92,477.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.